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$ A = \frac{g \cdot h}{2} $
$ g = \frac{A\cdot 2}{ h} $
$ h = \frac{A\cdot 2}{ g} $
$ A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma) $
$ U = a+b+c $
Geometrie-Dreieck-Allgemeines Dreieck
$A = \frac{g \cdot h}{2}$
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$g = \frac{A\cdot 2}{ h}$
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$h = \frac{A\cdot 2}{ g}$
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$A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma)$
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$U = a+b+c$
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Beispiel Nr: 05
$\begin{array}{l}
\text{Gegeben:}\\\text{Winkel gamma} \qquad \gamma \qquad [^{\circ}] \\
\text{Länge der Seite} \qquad b \qquad [m] \\
\text{Länge der Seite} \qquad a \qquad [m] \\
\\ \text{Gesucht:} \\\text{Fläche} \qquad A \qquad [m^{2}] \\
\\ A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma)\\ \textbf{Gegeben:} \\ \gamma=100^{\circ} \qquad b=1\frac{2}{3}m \qquad a=\frac{4}{5}m \qquad \\ \\ \textbf{Rechnung:} \\
A =\frac{1}{2}\cdot a\cdot b\cdot sin(\gamma) \\
\gamma=100^{\circ}\\
b=1\frac{2}{3}m\\
a=\frac{4}{5}m\\
A =\frac{1}{2}\cdot \frac{4}{5}m\cdot 1\frac{2}{3}m\cdot sin(100^{\circ} )\\\\ A=0,657m^{2}
\\\\\\ \small \begin{array}{|l|} \hline b=\\ \hline 1\frac{2}{3} m \\ \hline 16\frac{2}{3} dm \\ \hline 166\frac{2}{3} cm \\ \hline 1666\frac{2}{3} mm \\ \hline 1666666\frac{2}{3} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline a=\\ \hline \frac{4}{5} m \\ \hline 8 dm \\ \hline 80 cm \\ \hline 800 mm \\ \hline 8\cdot 10^{5} \mu m \\ \hline \end{array} \small \begin{array}{|l|} \hline gamma=\\ \hline 100 ° \\ \hline 6\cdot 10^{3} \text{'} \\ \hline 3,6\cdot 10^{5} \text{''} \\ \hline 111\frac{1}{9} gon \\ \hline 1,75 rad \\ \hline \end{array} \small \begin{array}{|l|} \hline A=\\ \hline 0,657 m^2 \\ \hline 65,7 dm^2 \\ \hline 6,57\cdot 10^{3} cm^2 \\ \hline 6,57\cdot 10^{5} mm^2 \\ \hline 0,00657 a \\ \hline 6,57\cdot 10^{-5} ha \\ \hline \end{array} \end{array}$